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The two-dimensional site-diluted Ising ferromagnet a damage-spreading analysis

Author

Listed:
  • de Sousa, E.S.
  • Mariz, A.M.
  • Nobre, F.D.
  • Costa, U.M.S.

Abstract

The quenched site-diluted Ising ferromagnet on a square lattice, for which each site is occupied or empty with probabilities p and 1 − p, respectively, is studied numerically through damage-spreading procedures. By making use of the Glauber dynamics, the percolation threshold pc is estimated. Within the heat-bath dynamics, the damage-spreading temperatures Td(p) (for several values of p>pc) are computed, indicating a strong correlation with the corresponding critical temperatures Tc(p). A procedure for estimating the fractal dimensions of clusters of damaged sites, at low temperatures, is presented; as p → pc, our estimate is very close to 91/48, which is the fractal dimension of the infinite cluster at p = pc in two-dimensional site percolation. Whenever possible to compare, our results are in good agreement with the best estimates available from other techniques, in spite of a modest computational effort.

Suggested Citation

  • de Sousa, E.S. & Mariz, A.M. & Nobre, F.D. & Costa, U.M.S., 1997. "The two-dimensional site-diluted Ising ferromagnet a damage-spreading analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(3), pages 469-480.
    • Handle: RePEc:eee:phsmap:v:241:y:1997:i:3:p:469-480
    DOI: 10.1016/S0378-4371(97)00173-8
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